At the country fair, the baxter family bought 6 hot dogs and 4 juice drinks for $14.50. the farley family bought 3 hot dogs and four juice drinks for 9.55. find the price of hot dog and the price of a juice drink

Answers

b and c

step-by-step explanation:

1,645,493,059.35

step-by-step explanation:

Price of hot dogs is $1.65 and price of juice drink is $1.15.

Step-by-step explanation:

Let the price of hot dogs be 'x'.

Also Let the price of Juice drinks be 'y'.

Now Given:

the Baxter family bought 6 hot dogs and 4 juice drinks for $14.50.

It means that 6 multiplied by price of hot dogs plus 4 multiplied by price of juice is equal to $14.50

framing in equation form we get;

6x+4y = 14.50 \ \ \ \ equation \ 1

Also Given:

The Farley family bought 3 hot dogs and four juice drinks for 9.55.

It means that 3 multiplied by price of hot dogs plus 4 multiplied by price of juice is equal to $9.55.

framing in equation form we get;

3x+4y = 9.55 \ \ \ \ equation \ 2

We need to find the price of hot dogs and juice drinks.

Now Subtracting equation 2 from equation 1 we get;

(6x+4y)-(3x+4y)=14.50-9.55\\\\6x+4y-3x-4y= 4.95\\\\3x=4.95\\\\x=\frac{4.95}{3} = \$1.65

Now Substituting the value of 'x' in equation 1 we get;

6x+4y=14.50\\\\6\times1.65+4y =14.50\\\\9.9+4y=14.50\\\\4y=14.50-9.9\\\\4y =4.6\\\\y=\frac{4.6}{4}=\$1.15

Hence Price of hot dogs is $1.65 and price of juice drink is $1.15.



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